GCF of 7060/497, 8414/6464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7060/497, 8414/6464 i.e 2/3212608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7060/497, 8414/6464.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7060/497,8414/6464?
Given fractions are 7060/497,8414/6464
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7060/497,8414/6464, numerators are 7060,8414
Denominators are 497,6464
The GCF of 7060,8414 is 2 .
LCM of 497,6464 is 3212608.
The greatest common factor of 7060/497,8414/6464 = [GCF of 7060,8414]/[LCM of 497,6464]= 2/3212608
Therefore, the GCF of 7060/497,8414/6464 is 2/3212608.
To find the highest common factor of 7060,8414, we have to find the factors of both numbers and list the highest common factor.
The factors of 7060 are 1, 2, 4, 5, 10, 20, 353, 706, 1412, 1765, 3530, 7060
The factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
The HCF of 7060,8414 is 2.
Lets's calculate GCF of 7060,8414
| 2 | 7060, 8414 |
| 3530, 4207 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7060,8414 By Matching Biggest Common Factor Method
Now, list down the factors of 7060
:1,2,4,5,10,20,353,706,1412,1765,3530,7060
Now, list down the factors of 8414
:1,2,7,14,601,1202,4207,8414
Greatest Common Factor
We found the factors 7060,8414 . The biggest common factor number is the GCF number.
So the greatest common factor 7060,8414 is 2.
Lets's calculate LCM of 497,6464
Given numbers has no common factors except 1. So, there LCM is their product i.e 3212608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3212608
Therefore, the GCF of Fractions 7060/497,8414/6464 is 2/3212608
Least Common Multiple of 497,6464 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 497,6464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,6464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,6464) x common factors =1 x 1 = 1
LCM(497,6464) = ( 497 × 6464 ) / 1
LCM(497,6464) = 3212608 / 1
LCM(497,6464) = 3212608
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7060/497, 8414/6464
1. What is the HCF of 7060,8414?
The HCF of 7060,8414 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7060/497, 8414/6464?
Answer: GCF of Numerators as per given numbers 7060/497, 8414/6464 is
GCF of Numerators i.e. for 7060,8414 is 2
LCM of denominators i.e. for 497,6464 is 3212608.
Thus, GCF of Fractions is 2/3212608.Finally, GCF of Fractions for 7060/497, 8414/6464 is 2/3212608.